Finite element analysis for stiffened laminated plates using higher order shear deformation theory

Biswal, K. C.; Ghosh, Anup

doi:10.1016/0045-7949(94)90139-2

Cited by 42 publications

(19 citation statements)

References 9 publications

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“…It is observed that when the number of nodes increases, the present result approaches the result by others. maximum plate deflection are shown in Table 2 and compared to those given by Deb and Booton [7], Biswal and Ghosh [8], and Sadek and Tawfik [9].…”

Section: Simply Supported Rectangular Plate Centrally Stiffened By Twmentioning

confidence: 95%

“…Hence, subsequent researchers tended to regard the plate and the stiffener separately and then combine them by imposing the displacement compatible conditions between the plate and the stiffener. Several methods have been developed, such as the Rayleigh-Ritz method [3][4][5][6], the finite element method (FEM) [7][8][9], and the constraint method based on finite elements [10]. Of all these methods, finite element methods are the most convenient and can be used in large, complex structures due to the advances in computing that have made the methods extensively used in industry.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

Peng

Kitipornchai

Liew

2005

International Journal of Mechanical Sciences

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Section: Simply Supported Rectangular Plate Centrally Stiffened By Twmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

Peng

Kitipornchai

Liew

2005

International Journal of Mechanical Sciences

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“…The analysis of stiffened laminated plates is complex and a number of studies dealt with them using numerical methods. Biswal and Ghosh [1] proposed a four-node rectangular element based on the higher order theory for bending analysis of stiffened laminated plates. Kolli and Chandrashekhara [2] developed a finite element model for predicting the global behavior of stiffened laminated plates based on the first order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution to bending of stiffened and continuous antisymmetric laminates

Sun

Harik

2015

Curved and Layered Structures

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Analytical Strip Method is presented for the analysis of the bending-extension coupling problem of stiffened and continuous antisymmetric thin laminates. A system of three equations of equilibrium, governing the general response of antisymmetric laminates, is reduced to a single eighth-order partial differential equation (PDE) in terms of a displacement function. The PDE is then solved in a single series form to determine the displacement response of antisymmetric cross-ply and angle-ply laminates. The solution is applicable to rectangular laminates with two opposite edges simply supported and the other edges being free, clamped, simply supported, isotropic beam supports, or point supports.

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“…The FEM has been employed by Biswal and Ghosh [1] using higher order shear deformation theory to analyze stiffened laminated plates. FEM has also been employed by Deb and Booton [4] for the analysis of Mindlin's shear distortion theory for bending of eccentrically stiffened plates subjected to transverse loading, while the BEM has been used by Wen et al [31] by coupling the shear deformable plate formulation and the two-dimensional plane stress elasticity.…”

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confidence: 99%

Shear deformation effect in plates stiffened by parallel beams

Sapountzakis

Mokos

2008

Arch Appl Mech

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In this paper a general solution for the analysis of shear deformable stiffened plates subjected to arbitrary loading is presented. According to the proposed model, the arbitrarily placed parallel stiffening beams of arbitrary doubly symmetric cross section are isolated from the plate by sections in the lower outer surface of the plate, taking into account the arising tractions in all directions at the fictitious interfaces. These tractions are integrated with respect to each half of the interface width resulting two interface lines, along which the loading of the beams as well as the additional loading of the plate is defined. Their unknown distribution is established by applying continuity conditions in all directions at the interfaces. The utilization of two interface lines for each beam enables the nonuniform distribution of the interface transverse shear forces and the nonuniform torsional response of the beams to be taken into account. The analysis of both the plate and the beams is accomplished on their deformed shape taking into account second-order effects. The analysis of the plate is based on Reissner's theory, which may be considered as the standard thick plate theory with which all others are compared, while the analysis of the beams is performed employing the linearized second order theory taking into account shear deformation effect. Six boundary value problems are formulated and solved using the analog equation method (AEM), a BEM based method. The solution of the aforementioned plate and beam problems, which are nonlinearly coupled, is achieved using iterative numerical methods. The adopted model permits the evaluation of the shear forces at the interfaces in both directions, the knowledge of which is very important in the design of prefabricated ribbed plates. The effectiveness, the range of applications of the proposed method and the influence of shear deformation effect are illustrated by working out numerical examples with great practical interest.Keywords Elastic stiffened plate · Reinforced plate with beams · Bending · Nonuniform torsion · Warping · Ribbed plate · Boundary element method · Slab-and-beam structure · Shear deformation · Reissner's theory IntroductionStructural plate systems stiffened by beams are widely used in buildings, bridges, ships, aircrafts and machines. Stiffening of the plate is used to increase its load carrying capacity and to prevent buckling especially in case of in-plane loading. Moreover, for cases wherein the plate or the beams are not very "thin" or the stiffeners are closely spaced, the error incurred from the ignorance of the effect of shear deformation may be substantial, E. J. Sapountzakis (B) · V. G. Mokos

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Finite element analysis for stiffened laminated plates using higher order shear deformation theory

Cited by 42 publications

References 9 publications

Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

Analytical solution to bending of stiffened and continuous antisymmetric laminates

Shear deformation effect in plates stiffened by parallel beams

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